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100667521 is a prime number
BaseRepresentation
bin1100000000000…
…01000010000001
321000102102212201
412000001002001
5201232330041
613553353201
72331442213
oct600010201
9230372781
10100667521
1151907aa9
1229868801
1317b185a6
14d5265b3
158c87631
hex6001081

100667521 has 2 divisors, whose sum is σ = 100667522. Its totient is φ = 100667520.

The previous prime is 100667513. The next prime is 100667543. The reversal of 100667521 is 125766001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 29855296 = 8415^2 + 5464^2 .

It is a cyclic number.

It is not a de Polignac number, because 100667521 - 23 = 100667513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100667521.

It is not a weakly prime, because it can be changed into another prime (100667551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50333760 + 50333761.

It is an arithmetic number, because the mean of its divisors is an integer number (50333761).

Almost surely, 2100667521 is an apocalyptic number.

It is an amenable number.

100667521 is a deficient number, since it is larger than the sum of its proper divisors (1).

100667521 is an equidigital number, since it uses as much as digits as its factorization.

100667521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 100667521 is about 10033.3205370904. The cubic root of 100667521 is about 465.1893798311.

The spelling of 100667521 in words is "one hundred million, six hundred sixty-seven thousand, five hundred twenty-one".